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Roman dodecahedron

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31: 70: 728: 761: 149:). This speculation is based on the historic cost of bronze and the level of skill necessary to cast such an object. Some 19th-century antiquarians speculated that they might be weapons, such as the head of a mace or a metal bullet, but other scholars have suggested that the dodecahedra are too light to make an effective weapon. 81:
The first dodecahedron was found in 1739. Since then, at least 130 similar objects have been found in Austria, Belgium, France, Germany, Hungary, Luxembourg, the Netherlands, Switzerland and the United Kingdom, but not in the Roman heartland in Italy. In 2023, a dodecahedron in excellent condition
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Several dodecahedra were found in coin hoards, suggesting either that their owners considered them valuable objects, or that their use was connected with coins — as, for example, for easily checking coins fit a certain diameter and were not clipped. It has been suggested that they might have been
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No mention of dodecahedrons has been found in contemporary accounts or pictures of the time. Speculative uses include as a survey instrument for estimating distances to (or sizes of) distant objects, though this is questioned as there are no markings to indicate that they would be a mathematical
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devices for making gloves (though the earliest known reference to spool knitting is from 1535, and this would neither explain the use of bronze, nor the apparently similar icosahedron which is missing the holes necessary for spool knitting); as part of a child's toy; or for decorative purposes.
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Die Strassburger tucher- und weberzunft: Urkunden und darstellung nebst regesten und glossar. Ein beitrag zur geschichte der deutschen weberei und des deutschen gewerberechts vom XIII.-XVII. jahrhundert
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shape with twelve flat pentagonal faces. Each face has a circular hole of varying diameter in the middle, the holes connecting to the hollow center, and each corner has a protruding knob.
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von Schmoller, Gustav (1879). "67. Rathsentscheidung in einem Streite der Tuchersunft und der Zunft zum Spiegel. dass das Hosenstricker-Handwerk ze der erstern gehöre. 1535.".
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dodecahedra date from the 2nd to 4th centuries AD and their purpose remains unknown. They rarely show signs of wear, and do not have any inscribed numbers or letters.
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religious artifacts, or even fortune-telling devices. This latter speculation is based on the fact that most of the examples have been found in
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Smaller dodecahedra with the same features (holes and knobs) and made from gold have been found in South-East Asia along the
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Greiner, Bernhard A. (1996). "Römische Dodekaeder: Untersuchungen zur Typologie, Herstellung, Verbreitung, und Funktion".
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Malleret, Louis (1961). "Les dodecaedres d'or du site d'Oc-eo" [The gold dodecohedrons from the Oc-eo site].
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has also been discovered after having long been misclassified as a dodecahedron. This icosahedron was excavated near
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and the earliest items appear to be from the Roman epoch. Examples include those uncovered in
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sites. It has also been suggested that they might have been an object to test the skill of a
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Xiong, Zhaoming (2014). "The Hepu Han tombs and the maritime Silk Road of the Han Dynasty".
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Sparavigna, A. (2012). "Roman dodecahedron as dioptron: Analysis of freely available data".
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Instances range in size from 4 to 11 centimetres (1.6 to 4.3 in). A Roman
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was created from a revision of this article dated 29 August 2019
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Hill, Christopher (1994). "Gallo-Roman Dodecahedra: A Progress Report".
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Knitting technology : a comprehensive handbook and practical guide
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Kilford, L.J.P. (December 2004). "A mathematical tourist in Germany".
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Guggenberger, Michael (2013-10-03). "The Gallo-Roman Dodecahedron".
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is a small hollow object made of copper alloy which has been
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was found by amateur archeologists in the small village of
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Two dodecahedra and an icosahedron on display in the
663:(342). Cambridge University Press (CUP): 1229–1243. 460:(U.S. ed.). Loveland, Colo.: Interweave Press. 200: 198: 196: 194: 511: 509: 109:in Germany and is currently on display in the 256:. Cambridge University Press (CUP): 289–292. 34:Roman bronze dodecahedron found in Tongeren, 8: 775:by Alexandria Hein, Fox News, June 10, 2011 492:(3rd ed.). Lancaster, Pa.: Technomic. 295: 293: 291: 289: 287: 529: 413: 744:, and does not reflect subsequent edits. 727: 601:. Vol. 40, no. 6. p. 204. 435:. Strassburg: Verlag von Karl J. Trübner 190: 7: 384:Euclid – the creation of mathematics 387:. New York: Springer. p. 303. 25: 516:Bennett, Anna T.N. (2009-12-31). 759: 726: 300:Metcalfe, Tom (August 6, 2018). 804:1739 archaeological discoveries 518:"Gold in early Southeast Asia" 327:Stavrou, A (20 January 2024). 207:The Mathematical Intelligencer 1: 789:Archaeological artefact types 94:. It is on exhibition at the 75:Rheinisches Landesmuseum Bonn 96:Lincoln Museum, Lincolnshire 36:Gallo-Roman Museum, Tongeren 557:(in German). pp. 9–44. 531:10.4000/archeosciences.2072 524:(33). OpenEdition: 99–107. 830: 488:Spencer, David J. (2001). 457:A History of Hand Knitting 669:10.1017/s0003598x0011542x 570:Religion in Roman Britain 262:10.1017/s0003581500024458 219:10.1007/s00283-013-9403-7 27:Small dodecahedral object 814:Ancient Roman technology 111:Rheinisches Landesmuseum 47:Gallo-Roman dodecahedron 794:Culture of ancient Rome 620:(3–4). JSTOR: 343–350. 555:Carnuntum Jahrbuch 1995 381:Artmann, Benno (1999). 250:The Antiquaries Journal 722: 702:Listen to this article 568:Henig, Martin (1984). 454:Rutt, Richard (1987). 78: 38: 768:at Wikimedia Commons 721: 72: 33: 753:More spoken articles 98:until October 2024. 55:regular dodecahedral 809:Gallo-Roman culture 766:Roman dodecahedron 723: 159:Maritime Silk Road 79: 43:Roman dodecahedron 39: 764:Media related to 719: 599:Mathematics Today 394:978-0-387-98423-0 16:(Redirected from 821: 763: 743: 741: 730: 729: 720: 710: 708: 703: 689: 688: 652: 646: 645: 609: 603: 602: 594: 588: 587: 565: 559: 558: 550: 544: 543: 533: 513: 504: 503: 485: 479: 478: 476: 474: 451: 445: 444: 442: 440: 426: 420: 419: 417: 405: 399: 398: 378: 372: 371: 369: 367: 362:. 27 August 2024 352: 346: 345: 343: 341: 324: 318: 317: 315: 313: 297: 282: 281: 245: 239: 238: 202: 21: 829: 828: 824: 823: 822: 820: 819: 818: 799:Platonic solids 779: 778: 757: 756: 745: 739: 737: 734:This audio file 731: 724: 715: 712: 706: 705: 701: 698: 693: 692: 654: 653: 649: 626:10.2307/3249235 611: 610: 606: 596: 595: 591: 584: 576:. p. 128. 567: 566: 562: 552: 551: 547: 515: 514: 507: 500: 487: 486: 482: 472: 470: 468: 453: 452: 448: 438: 436: 428: 427: 423: 407: 406: 402: 395: 380: 379: 375: 365: 363: 354: 353: 349: 339: 337: 334:The Independent 326: 325: 321: 311: 309: 299: 298: 285: 247: 246: 242: 204: 203: 192: 187: 175:Pyu city-states 155: 153:Similar objects 122:instrument; as 119: 67: 28: 23: 22: 15: 12: 11: 5: 827: 825: 817: 816: 811: 806: 801: 796: 791: 781: 780: 777: 776: 746: 732: 725: 713: 700: 699: 697: 696:External links 694: 691: 690: 647: 604: 589: 582: 560: 545: 522:ArchéoSciences 505: 498: 480: 466: 446: 421: 400: 393: 373: 347: 319: 308:. Mental Floss 283: 240: 189: 188: 186: 183: 167:Louis Malleret 165:, Vietnam, by 154: 151: 124:spool knitting 118: 115: 66: 63: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 826: 815: 812: 810: 807: 805: 802: 800: 797: 795: 792: 790: 787: 786: 784: 774: 771: 770: 769: 767: 762: 754: 750: 735: 695: 686: 682: 678: 674: 670: 666: 662: 658: 651: 648: 643: 639: 635: 631: 627: 623: 619: 616:(in French). 615: 614:Artibus Asiae 608: 605: 600: 593: 590: 585: 583:0-7134-6047-4 579: 575: 571: 564: 561: 556: 549: 546: 541: 537: 532: 527: 523: 519: 512: 510: 506: 501: 499:9781855737556 495: 491: 484: 481: 469: 463: 459: 458: 450: 447: 434: 433: 425: 422: 416: 411: 404: 401: 396: 390: 386: 385: 377: 374: 361: 357: 351: 348: 336: 335: 330: 323: 320: 307: 303: 296: 294: 292: 290: 288: 284: 279: 275: 271: 267: 263: 259: 255: 251: 244: 241: 236: 232: 228: 224: 220: 216: 212: 208: 201: 199: 197: 195: 191: 184: 182: 180: 179:Khao Sam Kaeo 176: 172: 171:Funan economy 168: 164: 160: 152: 150: 148: 144: 143: 138: 134: 128: 125: 116: 114: 112: 108: 104: 99: 97: 93: 92:Roman Britain 89: 85: 84:Norton Disney 76: 71: 64: 62: 60: 56: 52: 48: 44: 37: 32: 19: 758: 660: 656: 650: 617: 613: 607: 598: 592: 569: 563: 554: 548: 521: 489: 483: 471:. 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Index

Dodecaeder

Gallo-Roman Museum, Tongeren
cast
regular dodecahedral
Roman

Rheinisches Landesmuseum Bonn
Norton Disney
Lincolnshire
Roman Britain
Lincoln Museum, Lincolnshire
icosahedron
Arloff
Rheinisches Landesmuseum
spool knitting
Gallo-Roman
metalsmith
collegium
guild
Maritime Silk Road
Óc Eo
Louis Malleret
Funan economy
Pyu city-states
Khao Sam Kaeo



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